Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9462/687,5069/354
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 9462,5069
Greatest Common Factor of Numerators i.e. GCF of 9462,5069 is 1 .
LCM of Denominators means LCM of 687,354 as per the given fractions.
LCM of 687,354 is 81066 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9462,5069
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9462
List of positive integer factors of 9462 that divides 9462 without a remainder.
1,2,3,6,19,38,57,83,114,166,249,498,1577,3154,4731,9462
Factors of 5069
List of positive integer factors of 5069 that divides 5069 without a remainder.
1,37,137,5069
Greatest Common Factor
We found the factors 9462,5069 . The biggest common factor number is the GCF number.
So the greatest common factor 9462,5069 is 1.
Lets's calculate LCM of 687,354
3 | 687, 354 |
229, 118 |
∴ So the LCM of the given numbers is 3 x 229 x 118 = 81066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81066
Therefore, the GCF of Fractions 9462/687,5069/354 is 1/81066
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 687,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,354) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(687,354) x common factors =3 x 1 = 3
LCM(687,354) = ( 687 × 354 ) / 3
LCM(687,354) = 243198 / 3
LCM(687,354) = 81066
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 9462/687, 5069/354?
Answer: GCF of Numerators as per given numbers 9462/687, 5069/354 is
GCF of Numerators i.e. for 9462,5069 is 1
LCM of denominators i.e. for 687,354 is 81066.
Thus, GCF of Fractions is 1/81066.Finally, GCF of Fractions for 9462/687, 5069/354 is 1/81066.